Stability of co-orbital motion in exoplanetary systems

DOI10.1007/s10569-004-3114-5zbMath1083.70015OpenAlexW2098475207MaRDI QIDQ815682

Zsolt Sándor, Bálint Érdi

Publication date: 20 February 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-004-3114-5

zbMATH Keywords

elliptic restricted three-body problemrelative Lyapunov indicatorstriangular Lagrangian points

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15)

Related Items (5)

Secondary resonances and the boundary of effective stability of Trojan motions ⋮ A parametric study of stability and resonances around \(L_4\) in the elliptic restricted three-body problem ⋮ Stability of Trojan planets in multi-planetary systems ⋮ High-order normal form stability estimates for co-orbital motion ⋮ Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems

Cites Work

• Symplectic mapping for Trojan-type motion in the elliptic restricted three-body problem
• The effect of eccentricity and inclination on the motion near the Lagrangian points \(L_4\) and \(L_5\)
• The relative Lyapunov indicator: an efficient method of chaos detection
• Symplectic mappings of co-orbital motion in the restricted problem of three bodies
• On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies
• The phase space structure around \(L_4\) in the restricted three-body problem

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